Alex owns one of those folding rulers where each segment is exactly 1 foot long. While playing with the open ruler he formed it into a triangle. Then he refolded it into a second triangle with double the area.
What is the smallest possible length of the ruler? What if the second triangle has 3 times the area?
Assuming that integer areas are required:
What is the smallest possible length of the ruler? 16 feet, corresponding to triangles {3,4,5} and {5,5,6}.
What if the second triangle has 3 times the area? {5,5,6} and {9,10,17} for a 12yard ruler.
Edited on June 28, 2024, 3:20 am

Posted by broll
on 20240627 10:11:03 